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Simplifying 4x + -1 = 12x + -41 Reorder the terms: -1 + 4x = 12x + -41 Reorder the terms: -1 + 4x = -41 + 12x Solving -1 + 4x = -41 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + 4x + -12x = -41 + 12x + -12x Combine like terms: 4x + -12x = -8x -1 + -8x = -41 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -8x = -41 + 0 -1 + -8x = -41 Add '1' to each side of the equation. -1 + 1 + -8x = -41 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = -41 + 1 -8x = -41 + 1 Combine like terms: -41 + 1 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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